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Finding the Third Proportional to 571,024 and 803,415

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Solution

The third proportional to 571,024 and 803,415 is: 1,130,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,024 : 803,415 = 803,415 : x
  2. Step 2: Convert to fraction form
    571,024/803,415 = 803,415/x
  3. Step 3: Cross multiply
    571,024x = 803,415 × 803,415
  4. Step 4: Simplify right side
    571,024x = 645,475,662,225
  5. Step 5: Solve for x
    x = 645,475,662,225/571,024
  6. Step 6: Final answer
    x = 1,130,382.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.